A lower bound for Coulomb energies

Elliott H. Lieb

Research output: Contribution to journalArticle

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Abstract

The indirect Coulomb energy for particles of charge e is usually approximated by E ≈ -Ce 2 3 ∫ ρ{variant}(x) 4 3d(x), where ρ{variant}(x) is the single-particle charge density. We prove that, for a suitable constant C, this form for E is actually a universal lower bound.

Original languageEnglish (US)
Pages (from-to)444-446
Number of pages3
JournalPhysics Letters A
Volume70
Issue number5-6
DOIs
StatePublished - Apr 2 1979

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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